Question

IM ALMOST DONE. I NEED HELP PLEASE!!

Find the indicated limit, if it exists.

limit of f of x as x approaches 2 where f of x equals x plus 3 when x is less than 2 and f of x equals 3 minus x when x is greater than or equal to 2

Answer 1

As x approaches 2 from the left, y approaches 2+3 (or 5) from below. But because of the open parenthesis at the right of (-infinity, 2), as well as the jump in y value (from 5 to 1) at x =2, the limit does not exist.